%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL891+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:21:53 AM UTC 2026
% Result : Theorem 183.40s 27.11s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL891+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 19:29:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 183.40/27.11 % Version : CSI_E---1.1
% 183.40/27.11 % Problem : theBenchmark.p
% 183.40/27.11 % Proof found!
% 183.40/27.11 % SZS status Theorem for theBenchmark.p
% 183.40/27.11 % SZS output start Proof
% 183.40/27.11 fof(sos_03, axiom, ![X1]:('+'(X1,'0')=X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_03)).
% 183.40/27.11 fof(sos_02, axiom, ![X1, X2]:('+'(X1,X2)='+'(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_02)).
% 183.40/27.11 fof(sos_06, axiom, ![X7, X8]:((('>='(X7,X8)&'>='(X8,X7))=>X7=X8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_06)).
% 183.40/27.11 fof(sos_08, axiom, ![X1]:('>='(X1,'0')), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_08)).
% 183.40/27.11 fof(sos_07, axiom, ![X9, X10, X11]:(('>='('+'(X9,X10),X11)<=>'>='(X10,'==>'(X9,X11)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_07)).
% 183.40/27.11 fof(sos_09, axiom, ![X12, X13, X14]:(('>='(X12,X13)=>'>='('+'(X12,X14),'+'(X13,X14)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_09)).
% 183.40/27.11 fof(sos_10, axiom, ![X15, X16, X17]:(('>='(X15,X16)=>'>='('==>'(X16,X17),'==>'(X15,X17)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_10)).
% 183.40/27.11 fof(goals_13, conjecture, ![X21, X22, X23]:((('>='('==>'(X21,X22),X21)&X23='==>'(X23,X22))=>'>='(X23,X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals_13)).
% 183.40/27.11 fof(sos_12, axiom, ![X1, X2]:('+'(X1,'==>'(X1,X2))='+'(X2,'==>'(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_12)).
% 183.40/27.11 fof(sos_05, axiom, ![X4, X5, X6]:((('>='(X4,X5)&'>='(X5,X6))=>'>='(X4,X6))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_05)).
% 183.40/27.11 fof(sos_01, axiom, ![X1, X2, X3]:('+'('+'(X1,X2),X3)='+'(X1,'+'(X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_01)).
% 183.40/27.11 fof(sos_04, axiom, ![X1]:('>='(X1,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_04)).
% 183.40/27.11 fof(sos_11, axiom, ![X18, X19, X20]:(('>='(X18,X19)=>'>='('==>'(X20,X18),'==>'(X20,X19)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_11)).
% 183.40/27.11 fof(c_0_13, plain, ![X53]:('+'(X53,'0')=X53), inference(variable_rename,[status(thm)],[sos_03])).
% 183.40/27.11 fof(c_0_14, plain, ![X51, X52]:('+'(X51,X52)='+'(X52,X51)), inference(variable_rename,[status(thm)],[sos_02])).
% 183.40/27.11 fof(c_0_15, plain, ![X31, X32]:((~'>='(X31,X32)|~'>='(X32,X31)|X31=X32)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])).
% 183.40/27.11 fof(c_0_16, plain, ![X36]:('>='(X36,'0')), inference(variable_rename,[status(thm)],[sos_08])).
% 183.40/27.11 fof(c_0_17, plain, ![X33, X34, X35]:(((~'>='('+'(X33,X34),X35)|'>='(X34,'==>'(X33,X35)))&(~'>='(X34,'==>'(X33,X35))|'>='('+'(X33,X34),X35)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])).
% 183.40/27.11 fof(c_0_18, plain, ![X37, X38, X39]:((~'>='(X37,X38)|'>='('+'(X37,X39),'+'(X38,X39)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])])).
% 183.40/27.11 cnf(c_0_19, plain, ('+'(X1,'0')=X1), inference(split_conjunct,[status(thm)],[c_0_13])).
% 183.40/27.11 cnf(c_0_20, plain, ('+'(X1,X2)='+'(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
% 183.40/27.11 fof(c_0_21, plain, ![X40, X41, X42]:((~'>='(X40,X41)|'>='('==>'(X41,X42),'==>'(X40,X42)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])])).
% 183.40/27.11 fof(c_0_22, negated_conjecture, ~(![X21, X22, X23]:((('>='('==>'(X21,X22),X21)&X23='==>'(X23,X22))=>'>='(X23,X21)))), inference(assume_negation,[status(cth)],[goals_13])).
% 183.40/27.11 fof(c_0_23, plain, ![X46, X47]:('+'(X46,'==>'(X46,X47))='+'(X47,'==>'(X47,X46))), inference(variable_rename,[status(thm)],[sos_12])).
% 183.40/27.11 cnf(c_0_24, plain, (X1=X2|~'>='(X1,X2)|~'>='(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
% 183.40/27.11 cnf(c_0_25, plain, ('>='(X1,'0')), inference(split_conjunct,[status(thm)],[c_0_16])).
% 183.40/27.11 cnf(c_0_26, plain, ('>='(X2,'==>'(X1,X3))|~'>='('+'(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_17])).
% 183.40/27.11 cnf(c_0_27, plain, ('>='('+'(X1,X3),'+'(X2,X3))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18])).
% 183.40/27.11 cnf(c_0_28, plain, ('+'('0',X1)=X1), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 183.40/27.11 cnf(c_0_29, plain, ('>='('==>'(X2,X3),'==>'(X1,X3))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
% 183.40/27.11 fof(c_0_30, negated_conjecture, (('>='('==>'(esk1_0,esk2_0),esk1_0)&esk3_0='==>'(esk3_0,esk2_0))&~'>='(esk3_0,esk1_0)), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])).
% 183.40/27.11 cnf(c_0_31, plain, ('+'(X1,'==>'(X1,X2))='+'(X2,'==>'(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_23])).
% 183.40/27.11 cnf(c_0_32, plain, ('0'=X1|~'>='('0',X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 183.40/27.11 cnf(c_0_33, plain, ('>='(X1,'==>'(X2,'0'))), inference(spm,[status(thm)],[c_0_26, c_0_25])).
% 183.40/27.11 fof(c_0_34, plain, ![X28, X29, X30]:((~'>='(X28,X29)|~'>='(X29,X30)|'>='(X28,X30))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])])])).
% 183.40/27.11 cnf(c_0_35, plain, ('>='('+'(X1,X2),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_25]), c_0_28])).
% 183.40/27.11 cnf(c_0_36, plain, ('>='('==>'('0',X1),'==>'(X2,X1))), inference(spm,[status(thm)],[c_0_29, c_0_25])).
% 183.40/27.11 cnf(c_0_37, negated_conjecture, (esk3_0='==>'(esk3_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_30])).
% 183.40/27.11 cnf(c_0_38, plain, ('+'(X1,'==>'(X1,'0'))='==>'('0',X1)), inference(spm,[status(thm)],[c_0_28, c_0_31])).
% 183.40/27.11 cnf(c_0_39, plain, ('==>'(X1,'0')='0'), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 183.40/27.11 fof(c_0_40, plain, ![X48, X49, X50]:('+'('+'(X48,X49),X50)='+'(X48,'+'(X49,X50))), inference(variable_rename,[status(thm)],[sos_01])).
% 183.40/27.11 cnf(c_0_41, plain, ('>='(X1,X3)|~'>='(X1,X2)|~'>='(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_34])).
% 183.40/27.11 cnf(c_0_42, negated_conjecture, ('>='('==>'(esk1_0,esk2_0),esk1_0)), inference(split_conjunct,[status(thm)],[c_0_30])).
% 183.40/27.11 cnf(c_0_43, plain, ('>='('+'(X1,X2),X1)), inference(spm,[status(thm)],[c_0_35, c_0_20])).
% 183.40/27.11 cnf(c_0_44, negated_conjecture, ('>='('==>'('0',esk2_0),esk3_0)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
% 183.40/27.11 cnf(c_0_45, plain, ('==>'('0',X1)=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39]), c_0_19])).
% 183.40/27.11 cnf(c_0_46, plain, ('+'('+'(X1,X2),X3)='+'(X1,'+'(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_40])).
% 183.40/27.11 cnf(c_0_47, negated_conjecture, ('>='(X1,esk1_0)|~'>='(X1,'==>'(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_41, c_0_42])).
% 183.40/27.11 cnf(c_0_48, plain, ('>='('+'(X1,'==>'(X1,X2)),X2)), inference(spm,[status(thm)],[c_0_43, c_0_31])).
% 183.40/27.11 cnf(c_0_49, negated_conjecture, ('>='(esk2_0,esk3_0)), inference(rw,[status(thm)],[c_0_44, c_0_45])).
% 183.40/27.11 cnf(c_0_50, plain, ('+'(X1,'+'('==>'(X1,'0'),X2))='+'('==>'('0',X1),X2)), inference(spm,[status(thm)],[c_0_46, c_0_38])).
% 183.40/27.11 cnf(c_0_51, negated_conjecture, ('>='('==>'('0',esk2_0),esk1_0)), inference(spm,[status(thm)],[c_0_47, c_0_36])).
% 183.40/27.11 cnf(c_0_52, plain, ('>='('+'(X2,X1),X3)|~'>='(X1,'==>'(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_17])).
% 183.40/27.11 cnf(c_0_53, plain, ('>='('+'(X1,'+'(X2,'==>'('+'(X1,X2),X3))),X3)), inference(spm,[status(thm)],[c_0_48, c_0_46])).
% 183.40/27.11 cnf(c_0_54, negated_conjecture, ('>='(X1,esk3_0)|~'>='(X1,esk2_0)), inference(spm,[status(thm)],[c_0_41, c_0_49])).
% 183.40/27.11 cnf(c_0_55, plain, ('>='('+'('==>'('0',X1),X2),X1)), inference(spm,[status(thm)],[c_0_43, c_0_50])).
% 183.40/27.11 cnf(c_0_56, negated_conjecture, ('>='(esk2_0,esk1_0)), inference(rw,[status(thm)],[c_0_51, c_0_45])).
% 183.40/27.11 cnf(c_0_57, plain, ('>='(X1,'==>'('+'(X2,X3),X4))|~'>='('+'(X2,'+'(X3,X1)),X4)), inference(spm,[status(thm)],[c_0_26, c_0_46])).
% 183.40/27.11 cnf(c_0_58, plain, ('>='('+'(X1,'+'(X2,'==>'(X2,'==>'(X1,X3)))),X3)), inference(spm,[status(thm)],[c_0_52, c_0_48])).
% 183.40/27.11 cnf(c_0_59, plain, ('>='('+'(X1,'==>'('+'(X2,X1),X3)),'==>'(X2,X3))), inference(spm,[status(thm)],[c_0_26, c_0_53])).
% 183.40/27.11 cnf(c_0_60, negated_conjecture, ('>='('+'(esk2_0,X1),esk3_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_45])).
% 183.40/27.11 fof(c_0_61, plain, ![X27]:('>='(X27,X27)), inference(variable_rename,[status(thm)],[sos_04])).
% 183.40/27.11 cnf(c_0_62, negated_conjecture, ('>='(X1,esk1_0)|~'>='(X1,esk2_0)), inference(spm,[status(thm)],[c_0_41, c_0_56])).
% 183.40/27.11 cnf(c_0_63, plain, ('>='('==>'(X1,'==>'(X2,X3)),'==>'('+'(X2,X1),X3))), inference(spm,[status(thm)],[c_0_57, c_0_58])).
% 183.40/27.11 cnf(c_0_64, negated_conjecture, ('>='('+'(X1,'==>'('+'(esk3_0,X1),esk2_0)),esk3_0)), inference(spm,[status(thm)],[c_0_59, c_0_37])).
% 183.40/27.11 cnf(c_0_65, negated_conjecture, ('>='(X1,'==>'(esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_26, c_0_60])).
% 183.40/27.11 cnf(c_0_66, plain, ('>='(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_61])).
% 183.40/27.11 cnf(c_0_67, negated_conjecture, ('>='('+'(esk2_0,X1),esk1_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_55]), c_0_45])).
% 183.40/27.11 cnf(c_0_68, negated_conjecture, ('>='('==>'(esk1_0,X1),'==>'(esk2_0,X1))), inference(spm,[status(thm)],[c_0_29, c_0_56])).
% 183.40/27.11 cnf(c_0_69, plain, ('+'(X1,'+'(X2,X3))='+'(X2,'+'(X3,X1))), inference(spm,[status(thm)],[c_0_46, c_0_20])).
% 183.40/27.11 cnf(c_0_70, negated_conjecture, ('>='('==>'(X1,esk3_0),'==>'('+'(esk3_0,X1),esk2_0))), inference(spm,[status(thm)],[c_0_63, c_0_37])).
% 183.40/27.11 cnf(c_0_71, negated_conjecture, ('>='('==>'('+'(esk3_0,X1),esk2_0),'==>'(X1,esk3_0))), inference(spm,[status(thm)],[c_0_26, c_0_64])).
% 183.40/27.11 cnf(c_0_72, plain, ('>='('+'(X1,'+'('==>'(X1,X2),X3)),'+'(X2,X3))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_48]), c_0_46])).
% 183.40/27.11 cnf(c_0_73, negated_conjecture, ('==>'(esk2_0,esk3_0)='0'), inference(spm,[status(thm)],[c_0_32, c_0_65])).
% 183.40/27.11 cnf(c_0_74, plain, ('>='(X1,'==>'(X2,'+'(X2,X1)))), inference(spm,[status(thm)],[c_0_26, c_0_66])).
% 183.40/27.11 cnf(c_0_75, negated_conjecture, ('>='(X1,'==>'(esk2_0,esk1_0))), inference(spm,[status(thm)],[c_0_26, c_0_67])).
% 183.40/27.11 cnf(c_0_76, plain, ('>='('0','==>'(X1,X2))|~'>='(X1,X2)), inference(spm,[status(thm)],[c_0_26, c_0_19])).
% 183.40/27.11 cnf(c_0_77, negated_conjecture, ('>='('+'(esk2_0,'==>'(esk1_0,X1)),X1)), inference(spm,[status(thm)],[c_0_52, c_0_68])).
% 183.40/27.11 cnf(c_0_78, plain, ('>='('+'(X1,X2),'==>'(X3,X4))|~'>='('+'(X2,'+'(X3,X1)),X4)), inference(spm,[status(thm)],[c_0_26, c_0_69])).
% 183.40/27.11 cnf(c_0_79, plain, ('>='('+'(X1,'+'('==>'(X1,X2),X3)),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_55]), c_0_45])).
% 183.40/27.11 cnf(c_0_80, negated_conjecture, ('==>'('+'(esk3_0,X1),esk2_0)='==>'(X1,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_70]), c_0_71])])).
% 183.40/27.11 cnf(c_0_81, plain, ('>='('+'('==>'(X1,X2),X3),'==>'(X1,'+'(X2,X3)))), inference(spm,[status(thm)],[c_0_26, c_0_72])).
% 183.40/27.11 cnf(c_0_82, negated_conjecture, ('+'(esk3_0,esk3_0)=esk2_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_73]), c_0_19]), c_0_37])).
% 183.40/27.11 cnf(c_0_83, plain, ('>='('+'(X1,'+'(X2,X3)),X3)), inference(spm,[status(thm)],[c_0_35, c_0_46])).
% 183.40/27.11 cnf(c_0_84, plain, ('>='(X1,'==>'(X2,'+'(X1,X2)))), inference(spm,[status(thm)],[c_0_74, c_0_20])).
% 183.40/27.11 cnf(c_0_85, negated_conjecture, ('==>'(esk2_0,esk1_0)='0'), inference(spm,[status(thm)],[c_0_32, c_0_75])).
% 183.40/27.11 cnf(c_0_86, negated_conjecture, ('>='('0','==>'('+'(esk2_0,'==>'(esk1_0,X1)),X1))), inference(spm,[status(thm)],[c_0_76, c_0_77])).
% 183.40/27.11 cnf(c_0_87, plain, ('>='(X1,'==>'(X2,X3))|~'>='('+'(X1,X2),X3)), inference(spm,[status(thm)],[c_0_26, c_0_20])).
% 183.40/27.11 cnf(c_0_88, plain, ('>='('+'(X1,X2),'==>'('==>'(X2,X3),X3))), inference(spm,[status(thm)],[c_0_78, c_0_79])).
% 183.40/27.11 fof(c_0_89, plain, ![X43, X44, X45]:((~'>='(X43,X44)|'>='('==>'(X45,X43),'==>'(X45,X44)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])).
% 183.40/27.11 cnf(c_0_90, negated_conjecture, ('==>'('+'(X1,esk3_0),esk2_0)='==>'(X1,esk3_0)), inference(spm,[status(thm)],[c_0_80, c_0_20])).
% 183.40/27.11 cnf(c_0_91, negated_conjecture, ('>='('+'(esk3_0,'==>'(X1,esk3_0)),'==>'(X1,esk2_0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_20])).
% 183.40/27.11 cnf(c_0_92, negated_conjecture, ('+'(esk3_0,'+'(esk3_0,X1))='+'(esk2_0,X1)), inference(spm,[status(thm)],[c_0_46, c_0_82])).
% 183.40/27.11 cnf(c_0_93, plain, ('>='('+'(X1,'+'(X2,X3)),X2)), inference(spm,[status(thm)],[c_0_83, c_0_20])).
% 183.40/27.11 cnf(c_0_94, plain, ('>='('+'(X1,X2),'+'('==>'(X3,'+'(X1,X3)),X2))), inference(spm,[status(thm)],[c_0_27, c_0_84])).
% 183.40/27.11 cnf(c_0_95, negated_conjecture, ('+'(esk1_0,'==>'(esk1_0,esk2_0))=esk2_0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_85]), c_0_19])).
% 183.40/27.11 cnf(c_0_96, negated_conjecture, ('==>'('+'(esk2_0,'==>'(esk1_0,X1)),X1)='0'), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_86]), c_0_25])])).
% 183.40/27.11 cnf(c_0_97, plain, ('>='(X1,'==>'(X2,'==>'('==>'(X2,X3),X3)))), inference(spm,[status(thm)],[c_0_87, c_0_88])).
% 183.40/27.11 cnf(c_0_98, plain, ('>='('==>'(X3,X1),'==>'(X3,X2))|~'>='(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_89])).
% 183.40/27.11 cnf(c_0_99, plain, ('>='(X1,'==>'('==>'(X1,X2),X2))), inference(spm,[status(thm)],[c_0_87, c_0_48])).
% 183.40/27.11 cnf(c_0_100, negated_conjecture, ('>='('==>'(esk3_0,'==>'(X1,esk2_0)),'==>'(X1,esk3_0))), inference(spm,[status(thm)],[c_0_63, c_0_90])).
% 183.40/27.11 cnf(c_0_101, negated_conjecture, ('>='('==>'(X1,esk3_0),'==>'(esk3_0,'==>'(X1,esk2_0)))), inference(spm,[status(thm)],[c_0_26, c_0_91])).
% 183.40/27.11 cnf(c_0_102, plain, ('>='('+'(X1,'+'(X2,X3)),'+'(X1,X2))), inference(spm,[status(thm)],[c_0_43, c_0_46])).
% 183.40/27.11 cnf(c_0_103, negated_conjecture, ('+'(esk3_0,'+'(X1,'==>'(X1,esk3_0)))='+'(esk2_0,'==>'(esk3_0,X1))), inference(spm,[status(thm)],[c_0_92, c_0_31])).
% 183.40/27.11 cnf(c_0_104, negated_conjecture, ('>='('+'(esk3_0,'==>'(esk1_0,esk3_0)),esk1_0)), inference(spm,[status(thm)],[c_0_47, c_0_91])).
% 183.40/27.11 cnf(c_0_105, plain, ('>='('+'(X1,X2),'==>'(X3,X1))), inference(spm,[status(thm)],[c_0_26, c_0_93])).
% 183.40/27.11 cnf(c_0_106, negated_conjecture, ('>='('+'(esk1_0,X1),'+'('==>'('==>'(esk1_0,esk2_0),esk2_0),X1))), inference(spm,[status(thm)],[c_0_94, c_0_95])).
% 183.40/27.11 cnf(c_0_107, negated_conjecture, ('+'(X1,'==>'(X1,'+'(esk2_0,'==>'(esk1_0,X1))))='+'(esk2_0,'==>'(esk1_0,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_96]), c_0_19])).
% 183.40/27.11 cnf(c_0_108, plain, ('==>'(X1,'==>'('==>'(X1,X2),X2))='0'), inference(spm,[status(thm)],[c_0_32, c_0_97])).
% 183.40/27.11 cnf(c_0_109, plain, ('>='('==>'(X1,X2),'==>'(X1,'==>'('==>'(X2,X3),X3)))), inference(spm,[status(thm)],[c_0_98, c_0_99])).
% 183.40/27.11 cnf(c_0_110, negated_conjecture, ('==>'(esk3_0,'==>'(X1,esk2_0))='==>'(X1,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_100]), c_0_101])])).
% 183.40/27.11 cnf(c_0_111, negated_conjecture, ('>='('+'(esk3_0,X1),'==>'(esk3_0,X2))|~'>='('+'(esk2_0,X1),X2)), inference(spm,[status(thm)],[c_0_26, c_0_92])).
% 183.40/27.11 cnf(c_0_112, plain, ('>='(X1,X2)|~'>='(X1,'+'(X3,'==>'(X3,X2)))), inference(spm,[status(thm)],[c_0_41, c_0_48])).
% 183.40/27.11 cnf(c_0_113, negated_conjecture, ('>='('+'(esk2_0,'==>'(esk3_0,X1)),'+'(esk3_0,X1))), inference(spm,[status(thm)],[c_0_102, c_0_103])).
% 183.40/27.11 cnf(c_0_114, negated_conjecture, ('>='('==>'(esk1_0,esk3_0),'==>'(esk3_0,esk1_0))), inference(spm,[status(thm)],[c_0_26, c_0_104])).
% 183.40/27.11 cnf(c_0_115, negated_conjecture, ('+'(esk3_0,'+'(X1,esk3_0))='+'(esk2_0,X1)), inference(spm,[status(thm)],[c_0_92, c_0_20])).
% 183.40/27.11 cnf(c_0_116, plain, ('+'(X1,'+'('==>'(X1,X2),X3))='+'(X2,'+'('==>'(X2,X1),X3))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_31]), c_0_46])).
% 183.40/27.11 cnf(c_0_117, plain, ('>='(X1,'==>'(X2,'==>'(X3,X2)))), inference(spm,[status(thm)],[c_0_26, c_0_105])).
% 183.40/27.11 cnf(c_0_118, plain, ('>='('==>'('+'(X1,X2),X3),'==>'(X2,'==>'(X1,X3)))), inference(spm,[status(thm)],[c_0_26, c_0_59])).
% 183.40/27.11 cnf(c_0_119, negated_conjecture, ('>='('+'(esk1_0,'==>'('==>'('==>'(esk1_0,esk2_0),esk2_0),esk2_0)),esk2_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_107]), c_0_108]), c_0_19]), c_0_108]), c_0_19])).
% 183.40/27.11 cnf(c_0_120, negated_conjecture, ('>='('==>'(esk3_0,X1),'==>'('==>'(X1,esk2_0),esk3_0))), inference(spm,[status(thm)],[c_0_109, c_0_110])).
% 183.40/27.11 cnf(c_0_121, negated_conjecture, ('>='('+'(esk3_0,'==>'(esk2_0,X1)),'==>'(esk3_0,X1))), inference(spm,[status(thm)],[c_0_111, c_0_48])).
% 183.40/27.11 cnf(c_0_122, negated_conjecture, ('>='('+'(esk2_0,'==>'(esk3_0,'==>'(esk3_0,X1))),X1)), inference(spm,[status(thm)],[c_0_112, c_0_113])).
% 183.40/27.11 cnf(c_0_123, negated_conjecture, ('>='('+'('==>'(esk1_0,esk3_0),X1),'+'('==>'(esk3_0,esk1_0),X1))), inference(spm,[status(thm)],[c_0_27, c_0_114])).
% 183.40/27.11 cnf(c_0_124, negated_conjecture, ('+'(X1,'+'(esk3_0,'==>'(X1,esk3_0)))='+'(esk2_0,'==>'(esk3_0,X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_116]), c_0_20])).
% 183.40/27.11 cnf(c_0_125, plain, ('==>'(X1,'==>'(X2,X1))='0'), inference(spm,[status(thm)],[c_0_32, c_0_117])).
% 183.40/27.11 cnf(c_0_126, plain, ('+'(X1,'+'('==>'(X1,X2),'==>'('==>'(X2,X1),X3)))='+'(X2,'+'(X3,'==>'(X3,'==>'(X2,X1))))), inference(spm,[status(thm)],[c_0_116, c_0_31])).
% 183.40/27.11 cnf(c_0_127, negated_conjecture, ('==>'('+'(X1,'==>'(X1,esk3_0)),esk2_0)='==>'('==>'(esk3_0,X1),esk3_0)), inference(spm,[status(thm)],[c_0_80, c_0_31])).
% 183.40/27.11 cnf(c_0_128, plain, ('==>'('+'(X1,X2),X3)='==>'(X2,'==>'(X1,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_118]), c_0_63])])).
% 183.40/27.11 cnf(c_0_129, negated_conjecture, ('>='('==>'('==>'('==>'(esk1_0,esk2_0),esk2_0),esk2_0),'==>'(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_26, c_0_119])).
% 183.40/27.11 cnf(c_0_130, negated_conjecture, ('>='('==>'(X1,esk3_0),'==>'('==>'('==>'(X1,esk2_0),esk2_0),esk3_0))), inference(spm,[status(thm)],[c_0_120, c_0_110])).
% 183.40/27.11 cnf(c_0_131, plain, ('>='('==>'('==>'('==>'(X1,X2),X2),X3),'==>'(X1,X3))), inference(spm,[status(thm)],[c_0_29, c_0_99])).
% 183.40/27.11 cnf(c_0_132, negated_conjecture, ('>='('==>'(esk2_0,X1),'==>'(esk3_0,'==>'(esk3_0,X1)))), inference(spm,[status(thm)],[c_0_26, c_0_121])).
% 183.40/27.11 cnf(c_0_133, negated_conjecture, ('>='('==>'(esk3_0,'==>'(esk3_0,X1)),'==>'(esk2_0,X1))), inference(spm,[status(thm)],[c_0_26, c_0_122])).
% 183.40/27.11 cnf(c_0_134, negated_conjecture, ('>='(esk2_0,'+'(esk3_0,esk1_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_125]), c_0_19]), c_0_69]), c_0_20]), c_0_126]), c_0_125]), c_0_19]), c_0_20])).
% 183.40/27.11 cnf(c_0_135, negated_conjecture, ('==>'('==>'(X1,esk3_0),'==>'(X1,esk2_0))='==>'('==>'(esk3_0,X1),esk3_0)), inference(rw,[status(thm)],[c_0_127, c_0_128])).
% 183.40/27.11 cnf(c_0_136, negated_conjecture, ('==>'('==>'('==>'(esk1_0,esk2_0),esk2_0),esk2_0)='==>'(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_129]), c_0_99])])).
% 183.40/27.11 cnf(c_0_137, negated_conjecture, ('==>'('==>'('==>'(X1,esk2_0),esk2_0),esk3_0)='==>'(X1,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_130]), c_0_131])])).
% 183.40/27.11 cnf(c_0_138, negated_conjecture, ('==>'(esk3_0,'==>'(esk3_0,X1))='==>'(esk2_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_132]), c_0_133])])).
% 183.40/27.11 cnf(c_0_139, negated_conjecture, ('>='('0','==>'(esk2_0,'+'(esk3_0,esk1_0)))), inference(spm,[status(thm)],[c_0_76, c_0_134])).
% 183.40/27.11 cnf(c_0_140, plain, ('>='('0','==>'('+'(X1,X2),X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_55]), c_0_45])).
% 183.40/27.11 cnf(c_0_141, negated_conjecture, ('==>'('==>'('==>'(esk1_0,esk2_0),esk3_0),esk3_0)='==>'('==>'(esk3_0,esk1_0),esk3_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_136]), c_0_137]), c_0_135]), c_0_110])).
% 183.40/27.11 cnf(c_0_142, plain, ('==>'(X1,'+'(X1,X2))=X2|~'>='('==>'(X1,'+'(X1,X2)),X2)), inference(spm,[status(thm)],[c_0_24, c_0_74])).
% 183.40/27.11 cnf(c_0_143, plain, ('>='('==>'(X1,'+'(X2,'==>'(X2,X3))),'==>'(X1,X3))), inference(spm,[status(thm)],[c_0_98, c_0_48])).
% 183.40/27.11 cnf(c_0_144, negated_conjecture, ('>='('==>'(esk2_0,X1),'==>'('==>'('==>'(esk3_0,X1),esk2_0),esk3_0))), inference(spm,[status(thm)],[c_0_120, c_0_138])).
% 183.40/27.11 cnf(c_0_145, negated_conjecture, ('==>'(esk2_0,'+'(esk3_0,esk1_0))='0'), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_139]), c_0_25])])).
% 183.40/27.11 cnf(c_0_146, plain, ('==>'('+'(X1,X2),X1)='0'), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_140]), c_0_25])])).
% 183.40/27.11 cnf(c_0_147, plain, ('>='('+'('==>'(X1,X2),X3),'==>'(X1,'+'(X2,'+'('==>'(X2,X1),X3))))), inference(spm,[status(thm)],[c_0_74, c_0_116])).
% 183.40/27.11 cnf(c_0_148, negated_conjecture, ('+'('==>'('==>'(esk3_0,esk1_0),esk3_0),'==>'('==>'(esk1_0,esk2_0),esk3_0))=esk3_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_141]), c_0_125]), c_0_19]), c_0_20])).
% 183.40/27.11 cnf(c_0_149, plain, ('==>'(X1,'+'(X1,'==>'(X1,X2)))='==>'(X1,X2)), inference(spm,[status(thm)],[c_0_142, c_0_143])).
% 183.40/27.11 cnf(c_0_150, negated_conjecture, ('>='('0','==>'('==>'('==>'(esk3_0,'+'(esk3_0,esk1_0)),esk2_0),esk3_0))), inference(spm,[status(thm)],[c_0_144, c_0_145])).
% 183.40/27.11 cnf(c_0_151, plain, ('+'(X1,'==>'(X1,'+'(X1,X2)))='+'(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_146]), c_0_19])).
% 183.40/27.11 cnf(c_0_152, negated_conjecture, ('>='('0','==>'('==>'(esk1_0,esk3_0),'==>'(esk3_0,esk1_0)))), inference(spm,[status(thm)],[c_0_76, c_0_114])).
% 183.40/27.11 cnf(c_0_153, negated_conjecture, ('>='('==>'('==>'(esk1_0,esk2_0),esk3_0),'==>'(esk3_0,esk1_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_148]), c_0_138]), c_0_85]), c_0_28]), c_0_20]), c_0_149])).
% 183.40/27.11 cnf(c_0_154, negated_conjecture, ('==>'('==>'('==>'(esk3_0,'+'(esk3_0,esk1_0)),esk2_0),esk3_0)='0'), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_150]), c_0_25])])).
% 183.40/27.11 cnf(c_0_155, negated_conjecture, ('==>'('==>'(esk3_0,'+'(esk3_0,X1)),esk3_0)='==>'(X1,esk3_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_151]), c_0_80])).
% 183.40/27.11 cnf(c_0_156, negated_conjecture, ('==>'('==>'(esk1_0,esk3_0),'==>'(esk3_0,esk1_0))='0'), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_152]), c_0_25])])).
% 183.40/27.11 cnf(c_0_157, negated_conjecture, ('==>'('==>'(esk1_0,esk2_0),esk3_0)='==>'(esk3_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_153]), c_0_120])])).
% 183.40/27.11 cnf(c_0_158, negated_conjecture, ('==>'('==>'(esk3_0,'+'(esk3_0,esk1_0)),esk2_0)='+'(esk3_0,'==>'(esk1_0,esk3_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_154]), c_0_19]), c_0_110]), c_0_155])).
% 183.40/27.11 cnf(c_0_159, negated_conjecture, ('>='(X1,'==>'('==>'(esk1_0,esk3_0),'+'('==>'(esk3_0,esk1_0),X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_156]), c_0_28])).
% 183.40/27.11 cnf(c_0_160, negated_conjecture, ('+'('==>'(esk3_0,esk1_0),'==>'(esk1_0,esk2_0))='+'(esk3_0,'==>'(esk1_0,esk3_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_157]), c_0_20]), c_0_110])).
% 183.40/27.11 cnf(c_0_161, negated_conjecture, ('==>'('==>'(esk1_0,esk3_0),'+'(esk3_0,'==>'(esk1_0,esk3_0)))=esk3_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_158]), c_0_155]), c_0_138]), c_0_145]), c_0_45])).
% 183.40/27.11 cnf(c_0_162, negated_conjecture, ('>='('==>'(esk1_0,esk2_0),esk3_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_160]), c_0_161])).
% 183.40/27.11 cnf(c_0_163, negated_conjecture, ('>='('0','==>'(esk3_0,esk1_0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_162]), c_0_157])).
% 183.40/27.11 cnf(c_0_164, negated_conjecture, (~'>='(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_30])).
% 183.40/27.11 cnf(c_0_165, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_163]), c_0_19]), c_0_164]), ['proof']).
% 183.40/27.11 % SZS output end Proof
% 183.40/27.11 % User time : 25.255 s
% 183.40/27.11 % System time : 0.904 s
% 183.40/27.11 % Total time : 26.159 s
% 183.40/27.11 % User time : 25.255 s
% 183.40/27.11 % System time : 0.909 s
% 183.40/27.11 % Total time : 26.165 s
% 183.40/27.11
%------------------------------------------------------------------------------